monotone f(x)=(x^2+x-2)/(x^2)

解答

单调区间

f (x) = \frac{x ^{2} + x - 2}{x ^{2}}

递减 : - \infty < x < 0, 递增 : 0 < x < 4, 递减 : 4 < x < \infty

求解步骤

f^{'} (x) = \frac{- x + 4}{x ^{3}}

Find intervals:

递减

: - \infty < x < 0,

递增

: 0 < x < 4,

递减

: 4 < x < \infty

递减 : - \infty < x < 0, 递增 : 0 < x < 4, 递减 : 4 < x < \infty

in f l ec t i o n x 4 - x

a sy m pt o t es \frac{ln ( x - 1 )}{x - 1}

d o main ln (4 - 7 x)

d o main f (x) = - \frac{5}{6} (\frac{3}{5})^{x}

d o main f (x) = \frac{x}{x}